本研究以有限時間熱力學觀點，研究不同狀況下之史特林引擎，並以基因演算法找出最大功率，並以此模擬太陽能史特林引擎之輸出功率。研究的主題包括內可逆史特林引擎，與考慮不完全回熱及熱漏效應之史特林引擎，並分別討論以對流熱傳形式當熱源與以輻射熱傳形式當熱源兩種狀況，找出最大輸出功率與熱效率之關係，以及此時工作流體最佳的工作溫度，其中對流熱傳形式存在解析解得以比較數值結果之準確性，結果顯示，在內可逆與考慮不完全回熱與熱漏之情況下以基因演算法找最大功率皆能得到十分準確的結果。此外，也可得到輻射熱傳模式下之結果，藉以近似太陽能史特林熱機，並討論各項參數對於最大輸出功率之影響（如：回熱過程時間、壓縮比、熱源溫度…）。
最後模擬一太陽能熱發電系統，建立其集熱器之熱傳模型，並以內可逆史特林熱機作為引擎，研究不同太陽光輻射強度對於最大輸出功率之影響。

This study present finite time thermodynamic analysis of Stirling heat engine and obtained the maximum power output by using Genetic Algorithm (GA). The thermodynamic models include an endoreversible Stirling engine and an irreversible Stirling engine with imperfect regeneration and heat loss. Each one of those models has two cases which respectively are heat source by convection transfer and by radiation transfer. The relationship between maximum power output and thermal efficiency, moreover, the optimum working temperature of working fluid can be obtained. The case of heat source by convection transfer shows the accuracy of this method by comparing with analytic solution. The second case is about heat source by radiation transfer. We simulated solar driven Stirling engines in the second case and analyzed the effects of various parameters on maximum power output (i.e., times of regeneration process, compression ratio, temperature of heat source…)
In the last case, we have build a model of solar thermal power system, including heat transfer model of collector and endoreversible Stirling engine. The effects of various solar intensity on maximum power output have been discussed.

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